Mathematics 0580 · IGCSE · Transformations

Transformations — practice question

The diagram presents triangles A, B and C on a coordinate grid whose axes are marked x and y.
(a(i))[2]

Describe fully the one transformation that carries triangle A onto triangle B.

(a(ii))[3]

Describe fully the one transformation that carries triangle A onto triangle C.

(b(i))[2]

On the grid, plot the image of triangle A after an enlargement with scale factor $-\frac{1}{2}$ and centre $(3,0)$.

(b(ii))[2]

On the grid, plot the image of triangle A after a translation by the vector $\begin{pmatrix}-3\\1\end{pmatrix}$.

(b(iii))[3]

On the grid, plot the image of triangle A after the transformation represented by the matrix $\begin{pmatrix}0&1\\1&0\end{pmatrix}$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: A reflection

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI